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Finding the Fourth Proportional to 577.20, 864.03 and 394.02

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Solution

The fourth proportional to 577.20, 864.03 and 394.02 is: 589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.20 : 864.03 = 394.02 : x
  2. Step 2: Convert to fraction form
    577.20/864.03 = 394.02/x
  3. Step 3: Cross multiply
    577.20x = 864.03 × 394.02
  4. Step 4: Simplify right side
    577.20x = 340,445.10
  5. Step 5: Solve for x
    x = 340,445.10/577.20
  6. Step 6: Final answer
    x = 589.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.